Solving Orthonormal Eigenfunctions with Kronecker Delta

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The discussion revolves around expressing the orthonormality of wavefunctions for a particle in an infinite 1D potential well using the Kronecker delta notation. The user, Gareth, initially expresses confusion about how to represent the results mathematically. A response clarifies that the relationship can simply be written as <n|m> = δ_{nm}, indicating orthonormality. Gareth acknowledges the simplicity of the solution and expresses gratitude for the clarification. The conversation highlights the importance of concise mathematical notation in quantum mechanics.
ghosts_cloak
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Hello :-)
I am just finishing my QM homework and I have just showed that the wavefunction for a particle in an infinite 1D potential well form an orthonormal set of eigenfunctions. It asks me to express my results in terms of the Kronecker delta:

Delta[nm]={1 for n=m and 0 for n!=m}

Im a bit confused as to what this means... I have shown they are normalised and orthogonal, hence they are orthonormal? I don't see what the last part is asking me to do?

Any help is much appreciated!

~Gareth
 
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It's too trivial. Just write <n|m>= \delta_{nm} instead of saying it in words.
 
Hi, lol!
The question is sooo long I just lost sight of what I was doing. Yep it is trivial, I see now (actually, before I read your post, but thanks a lot anyway)

Cheers,
Gareth
 
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